Finding the Fourth Proportional to 2,493.25, 3,737.61 and 1,566

Step by Step Solution

1. Step 1: Write the proportion equation
   2,493.25 : 3,737.61 = 1,566 : x
2. Step 2: Convert to fraction form
   2,493.25/3,737.61 = 1,566/x
3. Step 3: Cross multiply
   2,493.25x = 3,737.61 × 1,566
4. Step 4: Simplify right side
   2,493.25x = 5,853,097.26
5. Step 5: Solve for x
   x = 5,853,097.26/2,493.25
6. Step 6: Final answer
   x = 2,347.58